The generator matrix

 1  0  0  1  1  1  1  1 3X  1  1  1  1  1  1  1  1  1  1  1 4X  1  1
 0  1  0 3X+1  2  4  X  1  1 2X 3X+2 3X+4 X+1 4X+2 4X+4 2X+2  3 3X 2X+1 2X  1 X+4 4X+1
 0  0  1 3X+3  2  1 3X+2 X+1 4X+4  3 3X+1 3X  4 2X 4X+2 X+4 4X 2X+1 2X+3 X+3 4X+3 3X+3 X+2

generates a code of length 23 over Z5[X]/(X^2) who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+400x^83+60x^84+272x^85+920x^86+1560x^87+1240x^88+480x^89+752x^90+1360x^91+880x^92+1120x^93+960x^94+1072x^95+1720x^96+1560x^97+1240x^98+16x^100+12x^105

The gray image is a linear code over GF(5) with n=115, k=6 and d=83.
This code was found by Heurico 1.16 in 0.113 seconds.